The Geometry of Spherically Symmetric Finsler Manifolds

• Main Authors: Guo, Enli (Author, http://id.loc.gov/vocabulary/relators/aut), Mo, Xiaohuan (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Differential geometry.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential Geometry.; Global Analysis and Analysis on Manifolds.

This book presents properties, examples, rigidity theorems and classification results of such Finsler metrics. In particular, this book introduces how to investigate spherically symmetric Finsler geometry using ODE or PDE methods. Spherically symmetric Finsler geometry is a subject that concerns dom...

Table of Contents:

• Chapter 1. Spherically Symmetric Finsler Metrics
• Chapter 2. Dually Flat Spherically Symmetric Metrics
• Chapter 3. Spherically Symmetric Metrics of Isotropic Berwald Curvature
• Chapter 4. Spherically Symmetric Douglas Metrics
• Chapter 5. Projectively Flat Spherically Symmetric Metrics
• Chapter 6. Spherically Symmetric Metrics of Scalar Curvature
• Chapter 7. Spherically Symmetric Metrics of Constant Flag Curvature
• Chapter 8. Spherically Symmetric W-quadratic Metrics. .